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Finding the Fourth Proportional to 38,132, 57,206.64 and 13,508

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Solution

The fourth proportional to 38,132, 57,206.64 and 13,508 is: 20,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,132 : 57,206.64 = 13,508 : x
  2. Step 2: Convert to fraction form
    38,132/57,206.64 = 13,508/x
  3. Step 3: Cross multiply
    38,132x = 57,206.64 × 13,508
  4. Step 4: Simplify right side
    38,132x = 772,747,293.12
  5. Step 5: Solve for x
    x = 772,747,293.12/38,132
  6. Step 6: Final answer
    x = 20,265.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.